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In this lesson, we focus on solving basic logarithmic equations. Starting with log base 2 of 16 equals x, we convert to exponential form as 2^x = 16, solving to find x equals 4. Alternatively, using the change of base formula, log of 16 divided by log of 2 also equals 4 for x. Moving to log base x of 81 equals 4, we convert to x^4 = 81, finding x equals 3. Lastly, log base 5 of x equals 3 is converted to 5^3 = x, resulting in x being 125.